A Study of the Water-Entry Cavity

May, Albert; Hoover, William R.

doi:10.21236/ad0611406

Cited by 11 publications

(3 citation statements)

References 3 publications

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“…The motivation for our study is derived from water-entry cavities (Birkhoff & Zarantonello 1957, pp. 240-1;May 1952;May & Hoover 1965; and other references given there). The collapse sequences observed by May & Hoover, together with the measured collapse trajectories for spherical cavities (Birkhoff & Zarantonello,pp.…”

Section: Introductionmentioning

confidence: 93%

The collapse time of a closed cavity

Miles

1966

J. Fluid Mech.

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The collapse time of a closed cavity that is initially at rest in an incompressible, inviscid fluid of density ρ and ambient pressurep∞has the form\[ t_1 = \{\rho/(p_{\infty} - p_c)\}^{\frac{1}{2}}\ell, \]wherepcis the internal pressure, which is assumed to remain constant during collapse, and [ell ] is a length that depends only on the geometry of the cavity. A variational formulation of the dynamical problem is constructed from Jacobi's statement of the principle of least action. A single-degree-of-freedom approximation is developed from the similarity hypothesis that the cavity collapses through a family of similar surfaces with volume as the generalized co-ordinate. Two-degree-of-freedom approximations are given for both prolate and oblate spheroidal cavities and are used to obtain error estimates for the similarity approximation (approximately 2% for the limiting case of a needle-like, prolate spheroid and approximately ½ % for a disk-like, oblate spheroid). A perturbation analysis is developed for an approximately spherical cavity, which is found to have the same collapse time as a spherical cavity of equal volume within a factor 1 +O(e4), whereeis a representative eccentricity. A first-order correction for surface tension is obtained.

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Section: Introductionmentioning

confidence: 93%

The collapse time of a closed cavity

Miles

1966

J. Fluid Mech.

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“…Korobkin and Pukhnachov (1988) present an overview of the early work on water entry which focused on naval ballistic applications, such as that of May and Hoover (1963). Glasheen and McMahon (1996) applied an understanding of water entry physics to the fascinating biological study of the Basilisk lizard's ability to run across the surface of the water.…”

Section: Introductionmentioning

confidence: 99%

Water entry of spinning hydrophobic and hydrophilic spheres

Techet

Truscott

2011

Journal of Fluids and Structures

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“…1, 2, 3; and 4), but only recently has an attempt been made (ref. 2) to correlate systematically the cavity development and collapse with experimental parameters.…”

Section: Introductionmentioning

confidence: 99%

The Cavity After Vertical Water Entry

May¹

1968

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A Study of the Water-Entry Cavity

Cited by 11 publications

References 3 publications

The collapse time of a closed cavity

The collapse time of a closed cavity

Water entry of spinning hydrophobic and hydrophilic spheres

The Cavity After Vertical Water Entry

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